1. A person invested a total sum of Rs 7900 in three different schemes of simple interest at 3%, 5% and 8% per annum. At the end of one year he got same interest in all three schemes. What is the money (in Rs) invested at 3%?
Write Comment
Comments
By: anil on 05 May 2019 01.46 am
Let the sum invested in the schemes at 3%, 5% and 8% per annum be Rs. $$100x,100y,100z$$ respectively Total sum = Rs. 7900 => $$100x+100y+100z=7900$$ => $$x+y+z=frac{7900}{100}=79$$ ------------(i) Simple interest = $$frac{P imes r imes t}{100}$$ Interest in scheme 1 = $$frac{100x imes3 imes1}{100}=Rs.$$ $$3x$$ Similarly, interest in scheme 2 = Rs. $$5y$$ and interest in scheme 3 = Rs. $$8z$$ According to ques, => $$3x=5y=8z=k$$ => $$x=frac{k}{3}$$ , $$y=frac{k}{5}$$ , $$z=frac{k}{8}$$ -----------(ii) Substituting it in equation (i), we get : => $$frac{k}{3}+frac{k}{5}+frac{k}{8}=79$$ => $$k(frac{40+24+15}{120})=79$$ => $$frac{79k}{120}=79$$ => $$k=120$$ Substituting it in equation (ii), => $$x=frac{120}{3}=40$$ $$ herefore$$ Money (in Rs) invested at 3% = $$100 imes40=Rs.$$ $$4000$$ => Ans - (C)
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use